Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction

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Title: Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction
Description: The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent'ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems
Authors: Vitalii P. Tanana, Anna I. Sidikova
Resource Type: eBook.
Subjects: Inverse problems (Differential equations), Numerical analysis--Improperly posed problems
Categories: MATHEMATICS / Differential Equations / Partial, MATHEMATICS / Applied, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Numerical Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1738316
RelevancyScore: 1084
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction
– Name: Abstract
  Label: Description
  Group: Ab
  Data: The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. ContentsModulus of continuity of the inverse operator and methods for solving ill-posed problemsLavrent'ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Vitalii+P%2E+Tanana%22">Vitalii P. Tanana</searchLink><br /><searchLink fieldCode="AR" term="%22Anna+I%2E+Sidikova%22">Anna I. Sidikova</searchLink>
– Name: TypePub
  Label: Resource Type
  Group: TypPub
  Data: eBook.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Inverse+problems+%28Differential+equations%29%22">Inverse problems (Differential equations)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis--Improperly+posed+problems%22">Numerical analysis--Improperly posed problems</searchLink>
– Name: SubjectBISAC
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+Partial%22">MATHEMATICS / Differential Equations / Partial</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Numerical+Analysis%22">MATHEMATICS / Numerical Analysis</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 519.4
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Inverse problems (Differential equations)
        Type: general
      – SubjectFull: Numerical analysis--Improperly posed problems
        Type: general
    Titles:
      – TitleFull: Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Vitalii P. Tanana
      – PersonEntity:
          Name:
            NameFull: Anna I. Sidikova
      – PersonEntity:
          Name:
            NameFull: Vitalii P. Tanana
      – PersonEntity:
          Name:
            NameFull: Anna I. Sidikova
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 05
              M: 10
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110575736
            – Type: isbn-electronic
              Value: 9783110575835
            – Type: isbn-electronic
              Value: 9783110577211
            – Type: isbn-electronic
              Value: 9783110577228
          Numbering:
            – Type: volume
              Value: 00062
          Titles:
            – TitleFull: Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction
              Type: main
ResultId 1